Prime p₀= 2861143223708592461 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 76 2 10 2 76 2 22 2 (?)
a_n: 0 2 18 20 78 80 156 158 168 170 246 248 270 272
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 16 58 76 10 76 22

SPT(16)	2861142592730593079	0 38 42 44 54 84 132 152 210 230 278 308 318 320 324 362	-630977999382
TPT(14)	2861142598224511751	0 2 78 80 138 140 210 212 216 218 300 302 348 350	-625484080710
SPT(16)	2861142960517967449	0 58 100 102 168 192 214 234 238 258 280 304 370 372 414 472	-263190625012
STPT(10)	2861143020543551741	0 2 6 8 48 50 90 92 96 98	-203165040720
STPT(10)	2861143129784997917	0 2 30 32 72 74 114 116 144 146	-93923594544
SPT(16)	2861143151099771689	0 42 72 82 90 132 138 162 208 232 238 280 288 298 328 370	-72608820772
SPT(16)	2861143275026283773	0 18 38 56 60 66 84 96 128 140 158 164 168 186 206 224	51317691312
SPT(16)	2861143574480867867	0 14 42 80 140 146 182 206 270 294 330 336 396 434 462 476	350772275406
SPT(16)	2861143600452959243	0 14 126 140 164 168 170 186 188 204 206 210 234 248 360 374	376744366782
SPT(16)	2861143710901194991	0 6 60 72 108 132 186 192 286 292 346 370 406 418 472 478	487192602530
SPT(16)	2861143762987178209	0 10 28 52 142 268 318 340 342 364 414 540 630 654 672 682	539278585748